4764061440 has 144 divisors (see below), whose sum is σ = 16905924000. Its totient is φ = 1270407168.

The previous prime is 4764061433. The next prime is 4764061459. The reversal of 4764061440 is 441604674.

4764061440 is a `hidden beast` number, since 4 + 7 + 640 + 6 + 1 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4764061395 and 4764061404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34365 + ... + 103484.

It is an arithmetic number, because the mean of its divisors is an integer number (117402250).

Almost surely, 2^4764061440 is an apocalyptic number.

4764061440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4764061440 is an abundant number, since it is smaller than the sum of its proper divisors (12141862560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4764061440 is a wasteful number, since it uses less digits than its factorization.

4764061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137879 (or 137859 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4764061440 is about 69022.1807827020. The cubic root of 4764061440 is about 1682.6448136929.

The spelling of 4764061440 in words is "four billion, seven hundred sixty-four million, sixty-one thousand, four hundred forty".